Question

At the height $80\, m$ , an aeroplane is moved with $150\,m/s$. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped? (given $g=10\,m/s^{2}$)

• A. 605.3 m
• B. 600 m
• C. 80 m
• D. 230 m

Answer 1

Answer: (B)

Time taken by the bomb to reach the ground is given by
$t=\sqrt{\left(\frac{2 h}{g}\right)}$
$t=\sqrt{\left(\frac{2 \times 80}{10}\right)}=4\, \sec$
Horizontal velocity of bomb $=150\, m / s$
Horizontal distance covered by bomb $=150 \times 4=600\, m$
Hence, the bomb should be dropped $600\, m$ before the target.